Answer:
Equation of parallel line: y = (-3/7)x - 27/7
Equation of perpendicular line: y = (7/3)x + 5/3
Step-by-step explanation
Equation of the line parallel to 3x + 7y = -5 and passing through (-2, -3):
Parallel lines have the same slope. The slope of the original line is -3/7. So, the equation of the parallel line is:
y = (-3/7)x - 27/7
Equation of the line perpendicular to 3x + 7y = -5 and passing through (-2, -3):
Perpendicular lines have slopes that are negative reciprocals. The negative reciprocal of -3/7 is 7/3. So, the equation of the perpendicular line is:
y = (7/3)x + 5/3